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Ultrasonic Elastogram Generation by 2D Thin Plate Smoothing Spline based Mathematical Interpolation Technique

by Safayat Bin Hakim, Kazi Khairul Islam
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 75 - Number 2
Year of Publication: 2013
Authors: Safayat Bin Hakim, Kazi Khairul Islam
10.5120/13080-0321

Safayat Bin Hakim, Kazi Khairul Islam . Ultrasonic Elastogram Generation by 2D Thin Plate Smoothing Spline based Mathematical Interpolation Technique. International Journal of Computer Applications. 75, 2 ( August 2013), 1-7. DOI=10.5120/13080-0321

@article{ 10.5120/13080-0321,
author = { Safayat Bin Hakim, Kazi Khairul Islam },
title = { Ultrasonic Elastogram Generation by 2D Thin Plate Smoothing Spline based Mathematical Interpolation Technique },
journal = { International Journal of Computer Applications },
issue_date = { August 2013 },
volume = { 75 },
number = { 2 },
month = { August },
year = { 2013 },
issn = { 0975-8887 },
pages = { 1-7 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume75/number2/13080-0321/ },
doi = { 10.5120/13080-0321 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:43:09.546699+05:30
%A Safayat Bin Hakim
%A Kazi Khairul Islam
%T Ultrasonic Elastogram Generation by 2D Thin Plate Smoothing Spline based Mathematical Interpolation Technique
%J International Journal of Computer Applications
%@ 0975-8887
%V 75
%N 2
%P 1-7
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Use of mathematical interpolation in Digital Signal Processing applications often seems to be a remarkable solution when applied for noise reduction. In the last two decades advancement in the Elasticity imaging of tissue is worth mentioning. Two dimensional spline technique for generating Elastograms is fairly a new approach for generating ultrasonic Elastograms. In the way of analyzing imaging modalities generally three parameters are taken into account resolution, SNRe and CNRe. In ultrasound elastography spline based method for axial strain estimation is well-established in the literature. In this paper we have shown the possibilities of 2D spline which mainly works on a plate of experimental data considering both axial and the lateral directions. We have also analyzed the improvement of performance while utilizing this method comparing with other wellestablished techniques such as simple 1D Smoothing Spline and the Adaptive Strain Estimation technique.

References
  1. Ophir, J. , I. Cespedes, Ponnekanti, H. , Yazdi, Y. , & Li. , X. " Elastography: a quantitative method for imaging the elasticity of biological tissues. " Ultrasonic imaging, 13(2), 111-134, 1991.
  2. Yeh, W. C. , Li, P. C. , Jeng, Y. M. , Hsu, H. C. , Kuo, P. L. , Li, M. L. , & Lee, P. H. " Elastic modulus measurements of human liver and correlation with pathology. " Ultrasound in medicine & biology, 28(4), 467-474, 2002.
  3. Greenleaf, J. F. , Fatemi, M. , & Insana, M. " Selected methods for imaging elastic properties of biological tissues. Annual review of biomedical engineering, 5(1), 57-78, 2003.
  4. Fung, Y. C. , & S. C. Cowin. "Biomechanics: Mechanical properties of living tissues. " Journal of Applied Mechanics, 61(4), 1007-1007,1994.
  5. Turgay, E. , Salcudean, S. , & Rohling, R. "Identifying the mechanical properties of tissue by ultrasound strain imaging. " Ultrasound in medicine & biology, 32(2), 221-235, 2006.
  6. O'Donnell, M. , Emelianov, S. Y. , Skovoroda, A. R. , Lubinski, M. A. , Weitzel, W. F. , & Wiggins, R. C. "Quantitative elasticity imaging. " In Ultrasonics Symposium, Proceedings. , IEEE, 893-903, 1993.
  7. Righetti, R. , Ophir, J. , & Ktonas, P. "Axial resolution in elastography. " Ultrasound in medicine&biology, 28(1), 101-113, 2002.
  8. Thangavel, K. , Manavalan, R. , & Aroquiaraj, I. L. "Removal of speckle noise from ultrasound medical image based on special filters: comparative study. " ICGST-GVIP Journal, 9(3), 25-32, 2009.
  9. Alam, S. K. "Novel spline-based approach for robust strain estimation in elastography. " Ultrasonic imaging, 32(2), 91- 102, 2010.
  10. Khadem, A. , & Setarehdan, S. K. "Smoothing-Spline based Strain Estimation in Ultrasound Elastography. " In Proc. IEEE International Conference on Signal Processing and Communications, (ICSPC), 680-683, IEEE, November 2007.
  11. Hakim, S. B. , & Islam, K. K. "A Comparative Analysis of Processing Periods for Strain Images generated using 1D Spline based approach and 2D Thin Plate Smoothing Spline method. " International Conference on Informatics, Electronics & Vision (ICIEV), IEEE, 1-6, May 2013.
  12. Srinivasan, S. , Righetti, R. , & Ophir, J. "Trade-offs between the axial resolution and the signal-to-noise ratio in elastography. " Ultrasound in medicine & biology, 29(6), 847-866, 2003.
  13. Varghese, T. , & Ophir, J. "A theoretical framework for performance characterization of elastography: The strain filter. " IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 44(1), 164-172, 1997.
  14. Kallel, F. , & Ophir, J. "A least-squares strain estimator for elastography. " Ultrasonic imaging, 19(3), 195-208, 1997.
  15. Alam, S. K. , Ophir, J. , & Konofagou, E. E. "An adaptive strain estimator for elastography. " IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 45(2), 461- 472, 1998.
  16. Buckley, M. J. " Fast computation of a discretized thinplate smoothing spline for image data. " Biometrika, 81(2), 247-258, 1994.
  17. Craven, P. , &Wahba, G. "Smoothing noisy data with spline functions. " Numerische Mathematik, 31(4), 377-403, 1978.
  18. Franke, R. "Smooth interpolation of scattered data by local thin plate splines. " Computers & Mathematics with Applications, 8(4), 273-281, 1982.
  19. Gervini, D. "Free-knot spline smoothing for functional data. " Journal of the Royal Statistical Society: Series B (Statistical Methodology), 68(4), 671-687, 2006.
  20. Viola, F. , & Walker, W. F. "A spline-based algorithm for continuous time-delay estimation using sampled data. " IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 52(1), 80-93, 2005.
  21. Ophir, J. , Alam, S. K. , Garra, B. , Kallel, F. , Konofagou, E. , Krouskop, T. , & Varghese, T. "Elastography: ultrasonic estimation and imaging of the elastic properties of tissues. " Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 213(3), 203-233, 1999.
  22. Sibson, R. , & Stone, G. "Computation of thin-plate splines. " SIAM Journal on Scientific and Statistical Computing, 12(6), 1304-1313, 1991.
  23. Taghvakish, S. , & Amini, J. " Optimum Weight in Thin Plate Spline for Digital Surface Model Generation. " FIG Working Week (2004). TS26 Positioning and Measurement Technologies and Practices II. Athens, Greece, May : 22-27, 2004.
  24. Bazen, A. M. , & Gerez, S. H. "Fingerprint matching by thin-plate spline modelling of elastic deformations. " Pattern Recognition, 36(8), 1859-1867, 2003.
  25. Rohr, K. , Stiehl, H. S. , Sprengel, R. , Buzug, T. M. , Weese, J. , & Kuhn, M. H. "Landmark-based elastic registration using approximating thin-plate splines. " IEEE Transactions on Medical Imaging, 20(6), 526-534, 2001.
  26. Krouskop, T. A. , Wheeler, T. M. , Kallel, F. , Garra, B. S. , & Hall, T. "Elastic moduli of breast and prostate tissues under compression. " Ultrasonic imaging, 20(4), 260-274, 1998.
  27. Samani, A. , Zubovits, J. , & Plewes, D. "Elastic moduli of normal and pathological human breast tissues: an inversiontechnique- based investigation of 169 samples. " Physics in medicine & biology, 52(6), 1565, 2007.
  28. Wahba, G. "A comparison of GCV and GML for choosing the smoothing parameter in the generalized spline smoothing problem. " The Annals of Statistics, 1378-1402, 1985.
  29. Chandrasekhar, R. , Ophir, J. , Krouskop, T. , & Ophir, K. "Elastographic image quality vs. tissue motion in vivo. " Ultrasound in medicine & biology, 32(6), 847-855, 2006.
  30. Barry, C. D. , Allott, C. P. , John, N. W. , Mellor, P. M. , Arundel, P. A. , Thomson, D. S. , & Waterton, J. C. "Threedimensional freehand ultrasound: image reconstruction and volume analysis. " Ultrasound in medicine & biology, 23(8), 1209-1224, 1997.
  31. Xiao, G. , Brady, J. M. , Noble, J. A. , Burcher, M. , & English, R. "Nonrigid registration of 3-D free-hand ultrasound images of the breast. " IEEE Transactions on Medical Imaging, 21(4), 405-412, 2002.
  32. Souchon, R. , Soualmi, L. , Bertrand, M. , Chapelon, J. Y. , Kallel, F. , & Ophir, J. "Ultrasonic elastography using sector scan imaging and a radial compression. " Ultrasonics, 40(1), 867-871, 2002.
  33. Montagnon, E. , Hissoiny, S. , Desprs, P. , & Cloutier, G. "Real-time processing in dynamic ultrasound elastography: A GPU-based implementation using CUDA. " 11th International Conference on Information Science, Signal Processing and their Applications (ISSPA), IEEE, 472-477, July 2012.
  34. Deshmukh, N. , Rivaz, H. , & Boctor, E. "GPU-based elasticity imaging algorithms. " In Proc. International Conference on Medical Image Computing and Computer Assisted Intervention, 2009.
Index Terms

Computer Science
Information Sciences

Keywords

Strain estimation Smoothing spline Resolution Performance parameter Interpolation

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